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State True/ False:

The monthly pocket money of 50 students of a class are given in the following distribution. Then, the class mark of the modal class is 175.

Monthly pocket money (in Rs)
0-50
50-100
100-150
150-200
200-250
250-300
Number of students
2
7
8
30
12
1

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True

False

answer is A.

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Detailed Solution

Consider the given frequency distribution table about the monthly pocket money of 50 students of a class,

Monthly pocket money (in Rs)	0-50	50-100	100-150	150-200	200-250	250-300
Number of students	2	7	8	30	12	1

We can observe that the maximum class frequency is 30, and the class corresponding to that frequency is 150-200.

Class mark = \frac{Lower limit + Upper limit}{2}

Therefore, the class mark of the modal class is:

⇒ 150 + 200 2 ⇒ 175

Hence, the class mark of the modal class is 175.
Thus, the given statement is true.
Therefore, option 1 is correct.

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